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Finding the Fourth Proportional to 154.26, 214.31 and 152.84

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Solution

The fourth proportional to 154.26, 214.31 and 152.84 is: 212.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.26 : 214.31 = 152.84 : x
  2. Step 2: Convert to fraction form
    154.26/214.31 = 152.84/x
  3. Step 3: Cross multiply
    154.26x = 214.31 × 152.84
  4. Step 4: Simplify right side
    154.26x = 32,753.30
  5. Step 5: Solve for x
    x = 32,753.30/154.26
  6. Step 6: Final answer
    x = 212.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.